Hysteresis loop area scaling exponents in DNA unzipping by a periodic force: A Langevin dynamics simulation study

Using Langevin dynamics simulations, we study the hysteresis in unzipping of longer double stranded DNA chains whose ends are subjected to a time dependent periodic force with frequency $\omega$ and amplitude $G$ keeping other end fixed. We find that area loop, $A_{loop}$, scales as $1/\omega$ at higher frequencies, whereas it $(G-G_c)^{\alpha}\omega^{\beta}$ exponents $\alpha=1$ $\beta=1.25$ low regime. These values same obtained Monte Carlo simulation studies directed self avoiding walk model homopolymer [R. Kapri, Phys. Rev. E 90, 062719 (2014)], block copolymer K. Yadav R. 103, 012413 (2021)] on square lattice, differs from reported earlier using much shorter hairpins.